Explicit multi-symplectic methods for Hamiltonian wave equations

	Explicit multi-symplectic methods for Hamiltonian wave equations
	Hong, Jialin; Jiang, Shanshan ; Li, Chun ; Liu, Hongyu
	2007-08-01
发表期刊	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN	1815-2406
卷号	2 期号:4 页码:662-683
摘要	In this paper, based on the multi-symplecticity of concatenating symplectic Runge-Kutta-Nystrom (SRKN) methods and symplectic Runge-Kutta-type methods for numerically solving Hamiltonian PDEs, explicit multi-symplectic schemes are constructed and investigated, where the nonlinear wave equation is taken as a model problem. Numerical comparisons are made to illustrate the effectiveness of our newly derived explicit multi-symplectic integrators.
关键词	Hamiltonian wave equations multi-symplectic integration symplectic Runge-Kutta methods symplectic Runge-Kutta-Nystrom methods
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000248345000004
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4608
专题	计算数学与科学工程计算研究所
通讯作者	Hong, Jialin
作者单位	1.Chinese Acad Sci, Acad Mathemat & Syst Sci, Inst Computat Math, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Grad Sch, Beijing 100080, Peoples R China 3.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Hong, Jialin,Jiang, Shanshan,Li, Chun,et al. Explicit multi-symplectic methods for Hamiltonian wave equations[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2007,2(4):662-683.
APA	Hong, Jialin,Jiang, Shanshan,Li, Chun,&Liu, Hongyu.(2007).Explicit multi-symplectic methods for Hamiltonian wave equations.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2(4),662-683.
MLA	Hong, Jialin,et al."Explicit multi-symplectic methods for Hamiltonian wave equations".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 2.4(2007):662-683.